Solve the equation 5(4x – 1.5x) + 12 = 4x – 124 for x.
The solution to the equation is Choose…
Solve the equation 5(4x – 1.5x) + 12 = 4x – 124 for x. The solution to the equation is ____.
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Solve the equation 5(4x – 1.5x) + 12 = 4x – 124 for x.
The solution to the equation is Choose…
To solve the equation ( 5(4x – 1.5x) + 12 = 4x – 124 ), let’s follow these steps:
1. Simplify the left side:
First, simplify ( 4x – 1.5x ):
[
4x – 1.5x = 2.5x
]
Then, substitute this back into the equation:
[
5(2.5x) + 12 = 4x – 124
]
2. Distribute the 5:
[
12.5x + 12 = 4x – 124
]
3. Isolate the variable:
Next, move ( 4x ) to the left side by subtracting ( 4x ) from both sides:
[
12.5x – 4x + 12 = -124
]
Which simplifies to:
[
8.5x + 12 = -124
]
4. Subtract 12 from both sides:
[
8.5x = -124 – 12
]
[
8.5x = -136
]
5. Divide both sides by 8.5:
[